#4289 ⟨a, b | ababaabab=ba⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. ad ⇒ c2 [11]
2. ac2d ⇒ ca [19]
3. c2d2 ⇒ dc [20]
4. (c2d)2 ⇒ da [13]
5. ac2b ⇒ c [17]
6. c2dc2b ⇒ d [16]
7. ba ⇒ d [3]
8. bc ⇒ dc2b [18]
9. bd ⇒ d3c2b [14]
# ab:ababaabab=ba reversed:acd/b aabab=c,ba=d morph:5/0,2/0
ad=cc
accd=ca
ccdd=dc
ccdccd=da
accb=c
ccdccb=d
ba=d
bc=dccb
bd=dddccb

Other submonoids of same group

17 unique, 17 total

Σ#PresentationProperties
6107⟨a, b | aabb=ba⟩Can Inf
6121⟨a, b | baa=abb⟩Can Inf
7217⟨a, b | aabab=ba⟩Can Inf
7262⟨a, b | abab=baa⟩Can Inf
8445⟨a, b | aabaab=ba⟩Can Inf
8541⟨a, b | abaab=baa⟩Can Inf
9927⟨a, b | aabaaab=ba⟩Can Inf
9976⟨a, b | abaabab=ba⟩Can Inf
91107⟨a, b | abaaab=baa⟩Can Inf
91249⟨a, b | abaab=baba⟩Can Inf
101937⟨a, b | aabaaaab=ba⟩Can Inf
102295⟨a, b | abaaaab=baa⟩Can Inf
114063⟨a, b | aabaaaaab=ba⟩Can Inf
114242⟨a, b | abaaabaab=ba⟩Can Inf
114757⟨a, b | abaaaaab=baa⟩Can Inf
115349⟨a, b | ababaab=baba⟩Can Inf
115827⟨a, b | abaaab=baaba⟩Can Inf